Adjoint-based constrained topology optimization for viscous flows, including heat transfer

Kontoleontos, E; Papoutsis‐Kiachagias, Evangelos M.; Zymaris, A.S.; Papadimitriou, Dimitrios; Giannakoglou, Kyriakos C.

doi:10.1080/0305215x.2012.717074

Cited by 128 publications

(71 citation statements)

References 23 publications

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“…Matsumori et al [94] published fluidthermal interaction problems under constant input power. Kontoleontos et al [95] published an adjoint-based constrained topology optimization for viscous flows, including heat transfer.…”

Section: -2015mentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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Topology optimization is proving to be a valuable design tool for physical systems, especially for structural systems. However, its application in the field of heat transfer is less evident but is constantly progressing. In this chapter, we would like to introduce topology optimization in the context of heat exchanger design to the general reader. We also provide a chronological review of available literature to see the current progress of topology optimization in the field of heat transfer and heat exchanger design. We expect that topology optimization will prove to be a valuable tool in heat exchanger design for the coming years.

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Section: -2015mentioning

confidence: 99%

Heat Exchanger Design with Topology Optimization

Manuel¹,

Lin²

2017

Heat Exchangers - Design, Experiment and Simulation

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“…Two major variances of topology optimization exists, the porosity [11][12][13] and the level-set [14,15] methods.…”

Section: Introductionmentioning

confidence: 99%

Optimal Flow Control and Topology Optimization Using the Continuous Adjoint Method in Unsteady Flows

Kavvadias

Karpouzas

Papoutsis‐Kiachagias

et al. 2014

Computational Methods in Applied Sciences

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This paper presents the development and application of the unsteady continuous adjoint method to the incompressible Navier-Stokes equations and its use in two different optimization problems. The first is the computation of the optimal setting of a flow control system, based on pulsating jets located along the surface of a square cylinder, in order to minimize the time-averaged drag. The second is dealing with unsteady topology optimization of a duct system with four fixed inlets and a single outlet, with periodic in time inlet velocity profiles, where the target is to minimize the time-averaged viscous losses. The presentation of the adjoint formulation is kept as general as possible and can thus be used to other optimization problems governed by the unsteady Navier-Stokes equations. Though in the examined problems the flow is laminar, the extension to turbulent flows is doable.

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“…(5) will become the adjoint field equations and boundary conditions, respectively, and are derived through eliminating all terms with field integrals containing partial derivative(s) dependent on the β design variable(s) by setting their multipliers, or, in the case of the BC terms, portions of their multipliers, against zero. It should be noted that these partial derivatives are technically total derivatives: δ ≡ ∂ for TopO since the computational grid remains unchanged when a design variable is changed [13]. The adjoint continuity and momentum field equations are defined as…”

Section: Adjoint Equations Boundary Conditions and Sensitivitiesmentioning

confidence: 99%

“…with appropriate boundary conditions derived from BC 1 and BC 2 (see [13]). After satisfaction of the field equations and their boundary conditions, the remaining terms of eq.…”

Section: Adjoint Equations Boundary Conditions and Sensitivitiesmentioning

confidence: 99%

Transition From 2d Continuous Adjoint Level Set Topology to Shape Optimization

Koch¹,

Papoutsis‐Kiachagias²,

Giannakoglou³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. The processes of topology and shape optimization are well known methods in the field of fluid mechanics. Although successful in their own rights, it is conceivable that the two methods will find choicest solutions in tandem: i.e. if shape optimization were able to improve a topological solution. Conjoining the two methods in this manner is not straightforward, however, since there is no existing process to connect one to the other. Toward this goal, a novel transitional process is proposed to process level set topology solutions obtained using the continuous adjoint method such that a shape optimization loop using the continuous adjoint can be initialized, run and ultimately produce a refined, parameterized solution. First, the topology optimization process is enhanced using the level set method to both maintain an explicit description of the interface between the solid and fluid topological domains and prevent the formation of fluid or solid islands which would not be viable for manufacturing. The interface is then fitted with Non-Uniform Rational B-Splines (NURBS) through application of sensitivities garnered from the solution of an auxiliary optimization problem which aims at reducing the difference between the signed distance fields generated about each NURBS curve and its corresponding interface section. A body-fitted mesh is generated for the geometry defined by the fitted NURBS, allowing a shape optimization loop to be initiated. The parameterized result of the topology to shape transition process will be compared to that of shape optimization in two 2D cases with internal, incompressible fluid flows.

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Adjoint-based constrained topology optimization for viscous flows, including heat transfer

Cited by 128 publications

References 23 publications

Heat Exchanger Design with Topology Optimization

Heat Exchanger Design with Topology Optimization

Optimal Flow Control and Topology Optimization Using the Continuous Adjoint Method in Unsteady Flows

Transition From 2d Continuous Adjoint Level Set Topology to Shape Optimization

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